{"title":"Generalized exponential stability of neutral stochastic quaternion-valued neural networks with variable coefficients and infinite delay","authors":"","doi":"10.1016/j.sysconle.2024.105869","DOIUrl":null,"url":null,"abstract":"<div><p>This paper focuses on neutral stochastic quaternion-valued neural networks (NSQNNs). Employing some stochastic analysis and inequalities techniques, we establish several sufficient conditions for ensuring <span><math><mi>p</mi></math></span>th moment generalized exponential stability. Our results do not require the construction of any Lyapunov function or rely on the assumption of bounded variable coefficients. Furthermore, our results expand some existing works. At last, to illustrate the efficacy of our result, we present one simulation example.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691124001579","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper focuses on neutral stochastic quaternion-valued neural networks (NSQNNs). Employing some stochastic analysis and inequalities techniques, we establish several sufficient conditions for ensuring th moment generalized exponential stability. Our results do not require the construction of any Lyapunov function or rely on the assumption of bounded variable coefficients. Furthermore, our results expand some existing works. At last, to illustrate the efficacy of our result, we present one simulation example.
期刊介绍:
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.